Robin said:
Intuition can be wrong so it does not qualify as a method of knowing the truth.
But you are still not seeing the nature of the objection.
Lucas' entire argument critically hinges on this premise that a human can know something that a machine can't.
This is true. Obviously if people deny this, then the Goedelian argument fails. Argue about this with Lucas then. He says that there is something we can see to be true which a machine cannot i.e a Goedelian sentence. Why don't you and the other people on here email him and argue it out?? I don't know if this is true or not. I simply say that any other argument that people have come up with is irrelevant. They have either not read Lucas and my contributions to this thread, or they have not understood.
But as I say, if you simply baldy assert that there are no Goedelian sentances which computers cannot see to be true, or in as much as they truly cannot see some sentence is true, then neither can we, and
everyone agrees with this apart from Lucas, Penrose, and almost certainly Goedel
then what is the purpose of this thread???
And it comes down to a bald unsupported statement - "People just see truth".
Yes of course they can!
Do you not think it is possible for someone to "just know" something and be wrong?
They didn't know it then did they??
Didn't Aristotle just know that the natural state of a body was at rest? Didn't a lot of people just know that the sun went round the earth? What about someone who says "I just know I will win the lottery this time"?
Yeah, mystical experiences is like when some fool says he knows he will win the lottery.
Look, I've had enough of the inane arguments on this thread. I'm going.
Note he says "... follow Godel's argument..." ie follow some logically valid process. Then your own admission:
So I have shown you where he explicitly states that the human knows the truth of the formula through a logically valid process. You have not shown me where he states anything else, explicitly or otherwise. So by your own argument above, Lucas' contention is refuted. [/B]
No! "Follow" does *not* necessarily mean a logically valid process. He simply means that the commuincator has effectively communicated what he wanted to convey!
That's it. I've had enough.